Invariant Manifolds and the Long-Time Asymptotics of the Navier-Stokes and Vorticity Equations on R2
Invariant Manifolds and the Long-Time Asymptotics of the Navier-Stokes and Vorticity Equations on R2
复制标题
R2 上纳维-斯托克斯方程和涡度方程的不变流形和长时间渐近性
DOI：
10.1007/s002050200200
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发表时间：
2001
影响因子：
2.5
通讯作者：
Thierry GallayUniversit
中科院分区：
文献类型：
--
作者：
Thierry GallayUniversit
摘要 我们在 R2 上的纳维-斯托克斯方程的相空间中构造有限维不变流形，并表明这些流形控制解的长期行为。这为此类解的渐进性的现有结果提供了几何洞察力，并且还允许我们以多种方式扩展这些结果。
Abstract We construct finite-dimensional invariant manifolds in the phase space of the Navier-Stokes equation on R2 and show that these manifolds control the long-time behavior of the solutions. This gives geometric insight into the existing results on the asymptotics of such solutions and also allows us to extend those results in a number of ways.